Almost Periodic Type Functions And Ergodicity Book

	Preface
Ch. 1	Almost periodic type functions	1
1.1	Almost periodic functions	1
1.2	Asymptotically almost periodic functions	21
1.3	Weakly almost periodic functions	30
1.4	Approximate theorem and applications	45
1.5	Pseudo almost periodic functions	56
1.6	Converse problems of Fourier expansions	68
1.7	Almost periodic type sequences	79
Ch. 2	Almost periodic type differential equations	87
2.1	Linear differential equations	87
2.2	Partial differential equations	106
2.3	Means, introversion and nonlinear equations	125
2.4	Regularity and exponential dichotomy	143
2.5	Equations with piecewise constant argument	164
2.6	Equations with unbounded forcing term	183
2.7	Almost periodic structural stability	191
Ch. 3	Ergodicity and abstract differential equations	203
3.1	Ergodicity and regularity	203
3.2	Ergodicity and nonlinear equations	217
3.3	Semigroup of operators and applications	226
3.4	Delay differential equations	240
3.5	Spectrum of functions	250
3.6	Abstract Cauchy Problems	262
Ch. 4	Ergodicity and averaging methods	279
4.1	Ergodicity and its properties	279
4.2	Quantitative theory	289
4.3	Perturbations of noncritical linear systems	300
4.4	Qualitative theory of averaging methods	305
4.5	Averaging methods for functional equations	318
	Bibliography	335
	Notations	351
	Index	353